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Finding the Fourth Proportional to 302.55, 415.24 and 274.87

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Solution

The fourth proportional to 302.55, 415.24 and 274.87 is: 377.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    302.55 : 415.24 = 274.87 : x
  2. Step 2: Convert to fraction form
    302.55/415.24 = 274.87/x
  3. Step 3: Cross multiply
    302.55x = 415.24 × 274.87
  4. Step 4: Simplify right side
    302.55x = 114,137.02
  5. Step 5: Solve for x
    x = 114,137.02/302.55
  6. Step 6: Final answer
    x = 377.25

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.